2260250640 has 240 divisors, whose sum is σ = 8461065600. Its totient is φ = 537366528.

The previous prime is 2260250627. The next prime is 2260250651. The reversal of 2260250640 is 460520622.

2260250640 is a `hidden beast` number, since 2 + 2 + 602 + 50 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227701 + ... + 237419.

It is an arithmetic number, because the mean of its divisors is an integer number (35254440).

Almost surely, 2^2260250640 is an apocalyptic number.

2260250640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230532800).

2260250640 is an abundant number, since it is smaller than the sum of its proper divisors (6200814960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2260250640 is a wasteful number, since it uses less digits than its factorization.

2260250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9765 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2260250640 is about 47542.0933489471. The cubic root of 2260250640 is about 1312.3576291830.

The spelling of 2260250640 in words is "two billion, two hundred sixty million, two hundred fifty thousand, six hundred forty".